Ответ:

  1. \(\sqrt[3]{10^6}=10^2=100\).
  2. \(\sqrt[3]{3^{12}}=3^4=81\).
  3. \(\sqrt[4]{\left(\frac1{12}\right)^{12}}=\left(\frac1{12}\right)^3=\frac1{1728}\).
  4. \(\sqrt[4]{\left(\frac13\right)^{16}}=\left(\frac13\right)^4=\frac1{81}\).

Ответ: 1) 100; 2) 81; 3) \(\frac1{1728}\); 4) \(\frac1{81}\).